That is not a snow. It is probably a ghost (WS hypo). Snows have all red eyes, no lavender at all. Ghost have blueish/lavender eyes.

These are snows: (https://www.google.com/search?q=snow bull snake&um=1&ie=UTF-8&hl=en&tbm=isch&source=og&sa=N&tab=wi&ei=RlHnUY3_IJSC9gTOsYHoCw&biw=1366&bih=667&sei=SVHnUYJZi_L2BI-2gIAJ#facrc=_&imgdii=_&imgrc=Qyeat4xUlIbAQM:;pzUMJt6_4weXqM;http://www.sweeneysserpents.com/DSC_0009.JPG;http://www.sweeneysserpents.com/snakes4sale.htm;1504;1000)

Holy long link! Either way congrats on the good clutch! Always nice to get unexpected animals! I agree with what Jason said about the genetics.